Final answer to the problem
Step-by-step Solution
Specify the solving method
Rewrite the function $e^{-y^2}$ as it's representation in Maclaurin series expansion
Learn how to solve definite integrals problems step by step online.
$\int\sum_{x}^{2}_{n=0}^{\infty } \frac{\left(-y^2\right)^n}{n!}dy$
Learn how to solve definite integrals problems step by step online. Integrate the function e^(-y^2) from x to 2. Rewrite the function e^{-y^2} as it's representation in Maclaurin series expansion. The power of a product is equal to the product of it's factors raised to the same power. Simplify \left(y^2\right)^n using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals n. We can rewrite the power series as the following.